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A comprehensive guide to understanding polynomial functions, focusing on finding zeros, exploring relationships between coefficients and zeros, and applying these concepts to solve real-world problems. It includes examples, explanations, and exercises to reinforce learning.
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Gto identi f ’ vaiable (A) 3e2 - 4 (6)3 - (^) 1ax> J
*[ Ain; 100 | 1oo in Maths
(0) - 4Va
vaniable
Vaniable
of
is (^) a polynornial
not a polynomial
polynomial 3 hfghest poly nomial ,
powen
value
avatlable poweH.
Aoi,a, cohole no.
polyoomial
The
value of k, is a a zeno of the ax + x+ k?
P(a) = o a(a)+ at k
3e toes of the
= dt+(12-)-
eroes aHe -
poly^ nonial^ 3x2^ +^ 11x-
Haio
Product
H0otS
the
the
Sum (^) of (^) the (^) zeroeS = (^) -b
Now um of
the
amd ptoduct quadratc equation
= -(-6)
PHodu ct of the
5 3etoe9 = C
the 3eHoes 3e oes
5
(^5 )
Zeoe polynom ial p( x) =4- B -7 then , is eauoal to
= x (4x -) +1 (4x -7)
-(2 +)(4x -1)
a =-(-3)
4
the
4
3 /
the
b=- C =-
(^6) =
-p+
-34 6 6
1 -
-(p-2)
a
b
ate the
’ a
>6x+ 34-(P-
the othe
) find
the value
mial ofP.
One 3erto
of
Hecipnocol
of
he qua
is
One
the polynomial
the
then the] Find the
>6x*+ 34x - (K- a)
> (^) a- 6 ; (^) b (^34) ;C=-(k- 2)
6= -k+
6-2 -k
polyno mial
Value of K.
aMe the 3eroes
plx) = 6x+
#KB;- Qua Hakc
Panabola
upwand s a >o
Polynom ial Gtaph taT
#K0- Polyno mial ’Degee
hen the
D 3 ’^ Cubic^ o^ max^8 zetroe
3eroes
polynomial only one potnt, polynomial Cann^ ot^ be^ a quadrahc polynomial.
have at most n 3enoes
Option-(0) Pis Palse amd R s tue.
o) FoHm a (^) quadhatio
Sum (^) and (^) pHodut ahe
We
S0R -
Know hat
equation , wh ose HOot '% -3 amd -2 Hespectivey
whtle ptaying^ in^ a SamaiMa Sauw a honeycomb and asked hert (^) mothem cohat t that. (^) Het (^) mothen Heplied (^) thet te (^) a honeycomb mde by
Comb formed i9 a Ihe (^) mathematice l (^) Hephesentatiton of (^) the
(-40)
(0 How C
amsweM (^) the (^) Follooing (^) questHons (70) above (^) Fnetton in (^) formafion, many 3enoes aMe^ theme^ fo^ the polynomfal Hepresented b the graph given?
(D ote the
then
delermine the values of a amol b.
3enoes of
The
SquaHe the 44, hen Fhnd the
the gaph
3erno es of the poly nomial.
aHe
of (^) the polyno mtal are amd-
polynomia 2+ px + 45 is of -
differen ce of he
gBven.
Vole
3e0 eg
3etoes of the
Heptesented by
polynomial
det the^ 3eHeOs (^) be (^) amd
’a= 1; (^) be (^) lat1) ; (^) C- b
are -
